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Finding the Fourth Proportional to 7,195.42, 9,929.14 and 4,051

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Solution

The fourth proportional to 7,195.42, 9,929.14 and 4,051 is: 5,590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.42 : 9,929.14 = 4,051 : x
  2. Step 2: Convert to fraction form
    7,195.42/9,929.14 = 4,051/x
  3. Step 3: Cross multiply
    7,195.42x = 9,929.14 × 4,051
  4. Step 4: Simplify right side
    7,195.42x = 40,222,946.14
  5. Step 5: Solve for x
    x = 40,222,946.14/7,195.42
  6. Step 6: Final answer
    x = 5,590.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.